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Eddi Din [679]
3 years ago
5

Dr. Yancy conducted a correlation study in which she found that the more time children in her study read at home the better they

performed in school. The relationship between reading and grades is _____ correlation.
A. Positive
B. Negative
Mathematics
1 answer:
anzhelika [568]3 years ago
3 0

Answer:

A. Positive

Step-by-step explanation:

They ask us about the relationship between reading and grades.

First you have to go to the first part of the statement that says:

"Dr. Yancy conducted a correlation study in which she found that the more time children in her study read at home the better they performed in school"

In this case they tell us that there is a positive correlation, that the more you read the better your performance in school is.

Performance is your grades, and home study can be reading, so the score is positive in the second half, too.

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Find the equation of a line that passes through (0,0) that is perpendicular to 2x+3y=-6
Dovator [93]

The slope-intercept form of a line:

y=mx+b

m - slope

b - y-intercept

Convert 2x + 3y = -6 to the slope-intercet form:

2x+3y=-6         <em>subtract 2x from both sides</em>

3y=-2x-6         <em>divide both sides by 3</em>

y=-\dfrac{2}{3}x-2

Let k:y=m_1x+b_1 and l:y=m_2x+b_2

l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}

We have m_1=-\dfrac{2}{3}

Therefore

m_2=-\dfrac{1}{-\frac{2}{3}}=\dfrac{3}{2}

We have the equation of a line:

y=\dfrac{3}{2}x+b

Put the coordinates of the point (0, 0) to the equation:

0=\dfrac{3}{2}(0)+b

0=b\to b=0

Answer: \boxed{y=\dfrac{3}{2}x}


8 0
3 years ago
A 208-yard-long road is divided into 16 parts of equal length. Mr. Ward paints a 4-yard-long strip in each part. How long is the
laila [671]

We have been given that a 208-yard-long road is divided into 16 parts of equal length.

Let us find length of each part.

\text{Length of each part}=\frac{208}{16}

\text{Length of each part}=13

Length of each part will be 13 yards.                

We are told that Mr. Ward paints a 4-yard-long strip in each part.

Now we will subtract length of painted strip from length of each equal part to find length of unpainted strip of each part of the road.

\text{Length of unpainted strip}=13-4

\text{Length of unpainted strip}=9    

Therefore, length of each unpainted strip will be 9 yards.

5 0
3 years ago
What is 62.713 rounded to the nearest hundredth?
irina [24]
62.71 would be the answer
8 0
3 years ago
The area of this rectangle is 30 m^2 . which is the perimeter of the rectangle ?
irga5000 [103]

Answer:

D. 26 m

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
. Here is an equation 2x + 9 = -15. Write three different equations that have the same solution as 2x + 9 = -15. Show or explain
Anettt [7]

Answer:

1. x-3=-15
2.2x=-24
3.2x-3=-27

Step-by-step explanation:

Given the following question:

2x+9=-15

To find three equations that have the same solution as the given equation we have to first solve the equation.

2x+9=-15
9-9=0
-15-9=-24
2x=-24
2x\div2=x
-24\div2=-12
x=-12

<u>Equation one:</u>
x-3=-15
-3+3=0
-15+3=-12
x=-12

<u>Equation two:
</u>2x=-24
2x\div2=x
-24\div2=-12
x=-12

<u>Equation three:</u>
2x-3=-27
-3+3=0
-27+3=-24
-24\div2=-12
x=-12

Hope this helps.

4 0
2 years ago
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